{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Newton's method in $n$ dimensions"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import numpy.linalg as la\n",
        "\n",
        "import scipy.optimize as sopt\n",
        "\n",
        "import matplotlib.pyplot as pt\n",
        "from mpl_toolkits.mplot3d import axes3d"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here are two functions. The first one is an oblong \"bowl-shaped\" one made of quadratic functions."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "def f(x):\n",
        "    return 0.5*x[0]**2 + 2.5*x[1]**2\n",
        "\n",
        "def df(x):\n",
        "    return np.array([x[0], 5*x[1]])\n",
        "\n",
        "def ddf(x):\n",
        "    return np.array([\n",
        "                     [1,0],\n",
        "                     [0,5]\n",
        "                     ])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The second one is a challenge problem for optimization algorithms known as [Rosenbrock's banana function](https://en.wikipedia.org/wiki/Rosenbrock_function)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "\n",
        "def f(X):\n",
        "    x = X[0]\n",
        "    y = X[1]\n",
        "    val = 100.0 * (y - x**2)**2 + (1.0 - x)**2\n",
        "    return val\n",
        "\n",
        "def df(X):\n",
        "    x = X[0]\n",
        "    y = X[1]\n",
        "    val1 = 400.0 * (y - x**2) * x - 2 * x\n",
        "    val2 = 200.0 * (y - x**2)\n",
        "    return np.array([val1, val2])\n",
        "\n",
        "def ddf(X):\n",
        "    x = X[0]\n",
        "    y = X[1]\n",
        "    val11 = 400.0 * (y - x**2) - 800.0 * x**2 - 2\n",
        "    val12 = 400.0\n",
        "    val21 = -400.0 * x\n",
        "    val22 = 200.0\n",
        "    return np.array([[val11, val12], [val21, val22]])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let's take a look at these functions. First in 3D:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x7f04fcb90160>"
            ]
          },
          "execution_count": 38,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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FH/zgBx/zO66NFuleA1Tr0iB31s1ms9v6j5V7J+z0Na6EECrJVo5s5aT6Wkin08Q3N+kY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\n+gcA7DmfAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f04fdd182e8>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig = pt.figure()\n",
        "ax = fig.gca(projection=\"3d\")\n",
        "\n",
        "xmesh, ymesh = np.mgrid[-2:2:50j,-2:2:50j]\n",
        "fmesh = f(np.array([xmesh, ymesh]))\n",
        "ax.plot_surface(xmesh, ymesh, fmesh,\n",
        "                alpha=0.3, cmap=pt.cm.coolwarm, rstride=3, cstride=3)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then as a \"contour plot\":"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.contour.QuadContourSet at 0x7f04fdd7c780>"
            ]
          },
          "execution_count": 39,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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hdAD6APQWWm8YYt2Qc8EhqCGUGjM5AWoSpftRsYuKNISHqOiFIfMlCJbEbnJm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\nbFmLKgnL3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pXjStCgQV2MG9cKe/bcNnpORcyf3x07doQhMbF6BsSnGdHRmdi2LRSLF+tx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\n8fc3ypIldQ8uk0mTJ57Ik/bt0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y7A17cBU6cq5dqmTaPLXp+RYeG770pZvLgEJycdc+e6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\nTin0jZMuBwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f04fdd7c400>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pt.axis(\"equal\")\n",
        "pt.contour(xmesh, ymesh, fmesh, 50)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "* You may need to add contours to seee more detail.\n",
        "* The function is *not* symmetric about the y axis!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Newton"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "First, initialize:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "guesses = [np.array([2, 2./5])]"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Then evaluate this cell lots of times:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "0.0 [ 0.  0.]\n"
          ]
        }
      ],
      "source": [
        "x = guesses[-1]\n",
        "s = la.solve(ddf(x), df(x))\n",
        "next_guess = x - s\n",
        "print(f(next_guess), next_guess)\n",
        "\n",
        "guesses.append(next_guess)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here's some plotting code to see what's going on:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 53,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f04fc7b6dd8>]"
            ]
          },
          "execution_count": 53,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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hdAD6APQWWm8YYt2Qc8EhqCGUGjM5AWoSpftRsYuKNISHqOiFIfMlCJbEbnJm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1OR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\njwn+P/OUMWF++VsrAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f04fc863400>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "pt.axis(\"equal\")\n",
        "pt.contour(xmesh, ymesh, fmesh, 50)\n",
        "it_array = np.array(guesses)\n",
        "pt.plot(it_array.T[0], it_array.T[1], \"x-\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### For comparison: Conjugate Gradients (\"CG\") -- later in the class\n",
        "\n",
        "Initialize the method:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 54,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "x0 = np.array([2, 2./5])\n",
        "#x0 = np.array([2, 1])\n",
        "\n",
        "iterates = [x0]\n",
        "gradients = [df(x0)]\n",
        "directions = [-df(x0)]"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Evaluate this cell many times in-place:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 56,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "7.81186907775e-19\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f04fc66e6d8>]"
            ]
          },
          "execution_count": 56,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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hdAD6APQWWm8YYt2Qc8EhqCGUGjM5AWoSpftRsYuKNISHqOiFIfMlCJbEbnJm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YMm3WrAkTytaTIs9t827atGLcga5xmXRQ1YplV5N1Z5ekZEx4yKQzJpxG3ap3rHjHqvNyBrqm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\ngg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f04fc74c5c0>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Evaluate this cell many times in-place\n",
        "\n",
        "x = iterates[-1]\n",
        "s = directions[-1]\n",
        "\n",
        "def f1d(alpha):\n",
        "    return f(x + alpha*s)\n",
        "\n",
        "alpha_opt = sopt.golden(f1d)\n",
        "next_x = x + alpha_opt*s\n",
        "\n",
        "g = df(next_x)\n",
        "last_g = gradients[-1]\n",
        "gradients.append(g)\n",
        "\n",
        "beta = np.dot(g, g)/np.dot(last_g, last_g)\n",
        "directions.append(-g + beta*directions[-1])\n",
        "\n",
        "print(f(next_x))\n",
        "\n",
        "iterates.append(next_x)\n",
        "\n",
        "# plot function and iterates\n",
        "pt.axis(\"equal\")\n",
        "pt.contour(xmesh, ymesh, fmesh, 50)\n",
        "it_array = np.array(iterates)\n",
        "pt.plot(it_array.T[0], it_array.T[1], \"x-\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": true
      },
      "outputs": [],
      "source": []
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": true
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.1+"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}